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Question : Ramesh runs at the speed of 234 km/hr. How many metres does he run in ten minutes?
Option 1: 35468 m
Option 2: 39000 m
Option 3: 37560 m
Option 4: 36000 m
Correct Answer: 39000 m
Solution : Given: Ramesh runs at the speed of 234 km/hr. Convert km/hr into m/s by multiplying it with $\frac{5}{18}$. 234 km/hr = 234 × $\frac{5}{18}$ = 65 m/s Distance = Speed × Time He run in ten minutes = 65 × 10 × 60 =
Question : Direction: In the following question, select the related number from the given alternatives.
2 : 32 :: 3 : ?
Option 1: 143
Option 2: 243
Option 3: 293
Option 4: 183
Correct Answer: 243
Solution : Given:
In this analogy,
Similarily,
So, the analogy become– 2 : 32 :: 3 : 243
Hence, option second is correct.
Question : The simplified value of the following is: $\left (\frac{3}{15}a^{5}b^{6}c^{3}\times \frac{5}{9}ab^{5}c^{4} \right )\div \frac{10}{27}a^{2}bc^{3}$.
Option 1: $\frac{9a^{2}bc^{4}}{10}$
Option 2: $\frac{3ab^{4}c^{3}}{10}$
Option 3: $\frac{3a^{4}b^{10}c^{4}}{10}$
Option 4: $\frac{1a^{4}b^{4}c^{10}}{10}$
Correct Answer: $\frac{3a^{4}b^{10}c^{4}}{10}$
Solution : Given equation: $( \frac{3}{15}a^{5}b^{6}c^{3}\times \frac{5}{9}ab^{5}c^{4})\div \frac{10}{27}a^{2}bc^{3}$ = $( \frac{a^6b^{11}c^7}{9}) \div ( \frac{10}{27}a^2bc^3)$ = $\frac{27a^6b^{11}c^7}{9\times10 a^2bc^3}$ = $\frac{27a^6b^{11}c^7}{90a^2bc^3}$ = $\frac{3a^4b^{10}c^4}{10}$ Hence, the correct answer is $\frac{3a^4b^{10}c^4}{10}$.
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (9, 69, 17); (13, 47, 7)
Option 1: (13, 57, 19)
Option 2: (10, 36, 8)
Option 3: (22, 49, 9)
Option 4: (19, 50, 4)
Correct Answer: (19, 50, 4)
Solution : Given: (9, 69, 17); (13, 47, 7)
Here, (9, 69, 17)→(9 × 2) + (17 × 3) = 18 + 51 = 69 (13, 47, 7)→(13 × 2) + (7 × 3) = 26 + 21 = 47
Let's check the options –
Question : The distance between the centres of two circles having radii of 8 cm and 3 cm is 13 cm. The length (in cm) of the direct common tangent of the two circles is:
Option 1: 15 cm
Option 2: 16 cm
Option 3: 18 cm
Option 4: 12 cm
Correct Answer: 12 cm
Solution : Given: AB = 13 cm AP = 8 cm BQ = 3 cm Direct common tangent (PQ) = $\sqrt{d^2-(r_1-r_2)^2}$ = $\sqrt{13^2-(8-3)^2}$ = $\sqrt{13^2-5^2}$ = $\sqrt{169-25}$ = $\sqrt{144}$ = 12 cm Hence, the correct answer is 12 cm.
Question : The executive power of the Union is vested in the:
Option 1: Council of Ministers headed by the Prime Minister
Option 2: Prime Minister
Option 3: Chief Justice of the Supreme Court
Option 4: President
Correct Answer: President
Solution : The correct answer is President.
The President of India is the ceremonial head of state. The President is elected by an Electoral College, which consists of the elected members of both houses of Parliament (Rajya Sabha and Lok Sabha) and the elected members of the
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select 'No substitution'. Impending natural disasters produce us constant worry.
Option 1: instill
Option 2: provoke
Option 3: cause
Option 4: No substitution
Correct Answer: cause
Solution : The correct choice is the third option.
The word "cause" is a more appropriate and direct choice to convey the idea that impending natural disasters are the reason for the constant worry. It provides a clearer and more concise expression of the cause-and-effect relationship in
Question : By what name is the Gandak River in Nepal known?
Option 1: Vishnupriya
Option 2: Shivnandini
Option 3: Narayani
Option 4: Burhi Gandak
Correct Answer: Narayani
Solution : The correct answer is Narayani
The Gandak River, which flows across the northern areas of India and Nepal, is also known as the Narayani River in Nepal or the Gandaki River. It passes through Uttar Pradesh and Bihar before joining the Ganges close to Patna.
Question : Select the option that will improve the underlined part of the given sentence. In case no improvement is needed, select 'No improvement required'. He went to bed early to get up on time to attend his morning lecture.
Option 1: get up over time
Option 2: No improvement required
Option 3: get up for time
Option 4: get up at time
Correct Answer: No improvement required
Solution : The second option is the correct answer.
The sentence is grammatically correct and conveys the intended meaning effectively. The structure to get up on time appropriately follows the context of going to bed early to be punctual for a morning lecture.
Therefore, the
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the pair of words given below. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Cattle : Herd
Option 1: Soldiers : Colony
Option 2: Sailors : Crew
Option 3: Pupils : Team
Option 4: Player : Class
Correct Answer: Sailors : Crew
Solution : Given: Cattle : Herd (A group of Cattle is called a herd.)
Let's check the options – First option: Soldiers : Colony; A group of Soldiers is called an army whereas a Colony is a group of ants. Second option: Sailors : Crew;
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